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On Rothschild–Stiglitz as Competitive Pooling

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  • Alberto Martin

Abstract

Dubey and Geanakoplos [2002] have developed a theory of competitive pooling, which incorporates adverse selection and signaling into general equilibrium. By recasting the Rothschild-Stiglitz model of insurance in this framework, they find that a separating equilibrium always exists and is unique. We prove that their uniqueness result is not a consequence of the framework, but rather of their definition of refined equilibria. When other types of perturbations are used, the model allows for many pooling allocations to be supported as such: in particular, this is the case for pooling allocations that Pareto dominate the separating equilibrium.
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  • Alberto Martin, 2007. "On Rothschild–Stiglitz as Competitive Pooling," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(2), pages 371-386, May.
    • Handle: RePEc:spr:joecth:v:31:y:2007:i:2:p:371-386
    DOI: 10.1007/s00199-006-0089-3
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    1. Douglas Gale, 1996. "Equilibria and Pareto optima of markets with adverse selection (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 207-235.
    2. Pradeep Dubey & John Geanakoplos, 2002. "Competitive Pooling: Rothschild-Stiglitz Reconsidered," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(4), pages 1529-1570.
    3. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, September.
    4. Hellwig, Martin, 1987. "Some recent developments in the theory of competition in markets with adverse selection ," European Economic Review, Elsevier, vol. 31(1-2), pages 319-325.
    5. Douglas Gale, 1992. "A Walrasian Theory of Markets with Adverse Selection," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(2), pages 229-255.
    6. Michael Rothschild & Joseph Stiglitz, 1976. "Equilibrium in Competitive Insurance Markets: An Essay on the Economics of Imperfect Information," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 90(4), pages 629-649.
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    Citations

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    Cited by:

    1. Alberto Martin, 2008. "Adverse selection, credit and efficiency: The case of the missing market," Economics Working Papers 1085, Department of Economics and Business, Universitat Pompeu Fabra, revised Sep 2009.
    2. Anthony Yezer & Pingkang Yu, 2016. "Costly Screening, Self-Selection, Fraud, and the Organization of Credit Markets," Working Papers 2016-4, The George Washington University, Institute for International Economic Policy.
    3. Catarina Goulão & Luca Panaccione, 2015. "Pooling promises with moral hazard," Economics Bulletin, AccessEcon, vol. 35(1), pages 460-465.
    4. Nick Netzer & Florian Scheuer, 2014. "A Game Theoretic Foundation Of Competitive Equilibria With Adverse Selection," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55(2), pages 399-422, May.
    5. Georges Dionne & Casey Rothschild, 2014. "Economic Effects of Risk Classification Bans," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 39(2), pages 184-221, September.
    6. Martin, Alberto, 2009. "A model of collateral, investment, and adverse selection," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1572-1588, July.
    7. Alberto Martin, 2004. "Endogenous credit cycles," Economics Working Papers 916, Department of Economics and Business, Universitat Pompeu Fabra, revised Aug 2008.
    8. Diasakos, Theodoros M. & Koufopoulos, Kostas, 2018. "(Neutrally) Optimal Mechanism under Adverse Selection: The canonical insurance problem," Games and Economic Behavior, Elsevier, vol. 111(C), pages 159-186.
    9. Theodoros M. Diasakos & Kostas Koufopoulos, 2011. "Efficient Nash Equilibrium under Adverse Selection," Carlo Alberto Notebooks 215, Collegio Carlo Alberto.
    10. Georges Dionne & Casey G. Rothschild, 2011. "Risk Classification in Insurance Contracting," Cahiers de recherche 1137, CIRPEE.
    11. Sengupta, Rajdeep, 2014. "Lending to uncreditworthy borrowers," Journal of Financial Intermediation, Elsevier, vol. 23(1), pages 101-128.

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    More about this item

    Keywords

    Competitive pooling; Insurance; Adverse selection; Signalling; Refined equilibrium; Separating equilibrium; D4; D5; D41; D52; D81; D82;
    All these keywords.

    JEL classification:

    • D4 - Microeconomics - - Market Structure, Pricing, and Design
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D41 - Microeconomics - - Market Structure, Pricing, and Design - - - Perfect Competition
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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